A long cylindrical wood log (k-0.17 W/m-K and a=128-10-7 m²/s) is 10 cm in diameter and is initially at a uniform temperature of26°C. It is exposed to hot gases at 455°C in a fireplace with a heat transfer coefficient of 13.6 W/m2.K on the surface. If the ignitiontemperature of the wood is 375°C, determine how long it will be before the log ignites. Solve this problem using the analytical one-term approximation method.The time taken ismin.

The Biot number is written as,Here, the Biot Number is greater than 0.1 so the Lumped system…

Answered: in to hot gases at 455°C in a fireplace…

in to hot gases at 455°C in a fireplace with a heat transfer coefficient of 1 wood is 375°C, determine how long it will be before the log ignites. Sa method.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A long cylindrical wood log (k-0.17 W/m-K and a=128-10-7 m²/s) is 10 cm in diameter and is initially at a uniform temperature of
26°C. It is exposed to hot gases at 455°C in a fireplace with a heat transfer coefficient of 13.6 W/m2.K on the surface. If the ignition
temperature of the wood is 375°C, determine how long it will be before the log ignites. Solve this problem using the analytical one-
term approximation method.
The time taken is
min.

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Step 1: Check the biot number-

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Step 3: Determine the value of time taken.

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